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Exponent Calculator

Raises a base to any real exponent (base^exponent), including negative and fractional exponents, and reports the reciprocal and a scientific-notation form.

When to use

You need a power such as 2^10, 1.05^30 or 8^(1/3), or a quick check of how large a power gets.

Do not use when: You need the exponent that produces a given result (use logarithm) or the n-th root with sign handling for negatives (use nth-root).

Formula

result = base^exponent; for a fractional exponent p/q: base^(p/q) = (base^(1/q))^p; base^(−n) = 1 / base^n

Inputs

Parameter	Type	Unit	Required	Description
`base`	number		yes	The number being multiplied by itself. Range: ≥ -1000000000, ≤ 1000000000
`exponent`	number		yes	The power; may be negative or fractional. A negative base requires an integer exponent. Range: ≥ -1000, ≤ 1000

Outputs

Output	Type	Description
`result`	number	base raised to the exponent.
`scientific_notation`	string	The result with 6 significant digits, e.g. '1.024 × 10^3'.
`reciprocal`	number	1 / result = base^(−exponent) (omitted when the result is 0).
`expression`	string	The evaluated power as text.

Example

2^10: {"base":2,"exponent":10} → {"result":1024,"scientific_notation":"1.024 × 10^3","reciprocal":0.0009765625,"expression":"2^10 = 1024"}

4^1.5: {"base":4,"exponent":1.5} → {"result":8,"reciprocal":0.125}

GET https://tttkmbb.com/api/v1/calculate/exponent?base=2&exponent=10

Machine access

API: GET https://tttkmbb.com/api/v1/calculate/exponent (query parameters) or POST with a JSON body {"inputs": {...}}
Schema: https://tttkmbb.com/api/v1/calculators/exponent · Markdown: https://tttkmbb.com/math/exponent.md · JSON definition: https://tttkmbb.com/math/exponent.json
MCP: server https://tttkmbb.com/mcp, tool run_calculator with calculator_id="exponent"
OpenAPI operationId: calculate_exponent
Freshness: static. Authentication: none. Rate limit: fair use (see rate limits).

Sources

Wikipedia – Exponentiation (reference)
Wolfram MathWorld – Power (reference)

FAQ

Why is a negative base with a fractional exponent rejected?

(−8)^(1/3) has no unique real value in general (the principal value is complex). Use nth-root, which returns the real root −2 for odd roots.

What is 0^0?

The calculator returns 1, the convention used in combinatorics and by most programming languages; some contexts treat it as undefined.

Related calculators

Nth Root Calculator — Inverse operation: the root of a number.
Logarithm Calculator — Find the exponent from the result.
Scientific Notation Converter — Express very large or small powers compactly.